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# m is a positive integer ; Is M odd?

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Current Student
Joined: 12 Aug 2015
Posts: 2630
Schools: Boston U '20 (M)
GRE 1: Q169 V154
m is a positive integer ; Is M odd?  [#permalink]

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21 Apr 2016, 07:58
1
3
00:00

Difficulty:

85% (hard)

Question Stats:

39% (01:31) correct 61% (00:47) wrong based on 104 sessions

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Math Expert
Joined: 02 Aug 2009
Posts: 7100
m is a positive integer ; Is M odd?  [#permalink]

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21 Apr 2016, 08:27
6
stonecold wrote:
m is a positive integer ; Is M odd?
[A] m= 2K+1
[B] m is a multiple of 3

HI,
Here is the reason

lets see the statements--

[A] m= 2K+1
we do not know if k is an integer...
If k is an integer.. M is ODD
If k is a fraction say 1/2.. m is EVEN
Insuff

[B] m is a multiple of 3
m can be 3 or 6..
Insuff

Combined..
if k=1, m = 3, ODD
if k = 5/2, m=6, EVEN different answers
Insuff
E
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##### General Discussion
Manager
Joined: 14 May 2014
Posts: 60
Location: India
GMAT 1: 680 Q49 V31
GPA: 3.44
Re: m is a positive integer ; Is M odd?  [#permalink]

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21 Apr 2016, 08:24
stonecold wrote:
m is a positive integer ; Is M odd?
[A] m= 2K+1
[B] m is a multiple of 3

Did not quite understand this
1 says---m=2k+1...if k=1/2 then m=2,which is even...in all other cases m is odd==so insufficient
2 says m=3,6,9,12,15,18,21 and so on which is a mix of even odd so insufficient

but combining them we have m=9,15,21 and so on( as we will find the common vales of m between 1 and 2)
so m is always odd

so why is the answer E??
Current Student
Joined: 12 Aug 2015
Posts: 2630
Schools: Boston U '20 (M)
GRE 1: Q169 V154
m is a positive integer ; Is M odd?  [#permalink]

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30 Dec 2016, 09:29
Here is my solution to this one ->

WE need to see if M is even or odd.
m is a positive integer.

Statement 1->
m=2k+1
k=1 => m=3 => Odd
k=1/2=> =2 => Even
Hence not sufficient

Statement 2->
m=3 => odd
m=6 => Even
Hence not sufficient

Combing the two statements =>
k=1=> m=3 => Odd
k=5/2 => m=6 => Even

Hence not sufficient

Hence E.

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Re: m is a positive integer ; Is M odd?  [#permalink]

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10 Jul 2018, 10:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: m is a positive integer ; Is M odd? &nbs [#permalink] 10 Jul 2018, 10:17
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